The lcm of 99 and 55 is the smallest positive integer that divides the numbers 99 and 55 without a remainder. Spelled out, it is the least common multiple of 99 and 55. Here you can find the lcm of 99 and 55, along with a total of three methods for computing it.
What is the LCM of 99 and 55
If you just want to know what is the least common multiple of 99 and 55, it is 495. Usually, this is written as
The lcm of 99 and 55 can be obtained like this:
- The multiples of 99 are … , 396, 495, 594, ….
- The multiples of 55 are …, 440, 495, 550, …
- The common multiples of 99 and 55 are n x 495, intersecting the two sets above,
- In the intersection multiples of 99 ∩ multiples of 55 the least positive element is 495.
- Therefore, the least common multiple of 99 and 55 is 495.
Taking the above into account you also know how to find all the common multiples of 99 and 55, not just the smallest. In the next section we show you how to calculate the lcm of ninety-nine and fifty-five by means of two more methods.
How to find the LCM of 99 and 55
The least common multiple of 99 and 55 can be computed by using the greatest common factor aka gcf of 99 and 55. This is the easiest approach:
Alternatively, the lcm of 99 and 55 can be found using the prime factorization of 99 and 55:
- The prime factorization of 99 is: 3 x 3 x 11
- The prime factorization of 55 is: 5 x 11
- Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(99,99) = 495
In any case, the easiest way to compute the lcm of two numbers like 99 and 55 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 99,55. Push the button only to start over.
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Use of LCM of 99 and 55
What is the least common multiple of 99 and 55 used for? Answer: It is helpful for adding and subtracting fractions like 1/99 and 1/55. Just multiply the dividends and divisors by 5 and 9, respectively, such that the divisors have the value of 495, the lcm of 99 and 55.
Properties of LCM of 99 and 55
The most important properties of the lcm(99,55) are:
- Commutative property: lcm(99,55) = lcm(55,99)
- Associative property: lcm(99,55,n) = lcm(lcm(55,99),n)
The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.
To sum up, the lcm of 99 and 55 is 495. In common notation: lcm (99,55) = 495.
If you have been searching for lcm 99 and 55 or lcm 99 55 then you have come to the correct page, too. The same is the true if you typed lcm for 99 and 55 in your favorite search engine.
Note that you can find the least common multiple of many integer pairs including ninety-nine / fifty-five by using the search form in the sidebar of this page.
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